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Complex Variables
Introduction and Applications

2nd Edition

$80.00 USD

textbook

Part of Cambridge Texts in Applied Mathematics

  • Date Published: February 2005
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9780511074288

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About the Authors
  • Complex variables provide powerful methods for attacking problems that can be very difficult to solve in any other way, and it is the aim of this book to provide a thorough grounding in these methods and their application. Part I of this text provides an introduction to the subject, including analytic functions, integration, series, and residue calculus and also includes transform methods, ODEs in the complex plane, and numerical methods. Part II contains conformal mappings, asymptotic expansions, and the study of Riemann–Hilbert problems. The authors provide an extensive array of applications, illustrative examples and homework exercises. This 2003 edition was improved throughout and is ideal for use in undergraduate and introductory graduate level courses in complex variables.

    • Contains a vast selection of examples and exercises
    • Useful reference for experts as well as a text for students
    • Extremely polished presentation in this new edition
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    Reviews & endorsements

    '… an excellent text, and one of the most complete and well-written books on complex variables I have seen … The index is nicely composed, complete, and accurate … useful as a reference … I highly recommend it to anyone interested in the subject and have placed it prominently upon my reference bookshelf.' Duwayne Anderson, Optics and Photonics News

    '… an excellent text, and one of the most complete and well-written books on complex variables I have seen … I highly recommend it to anyone interested in the subject…'. Optics and Photonics News

    'Overall the book feels 'road-tested' both in the lecture theatre and in the crucible of research and the clear well-written text is complemented by a superb collection of worked examples and exercises ranging in scope from routine applications of techniques to more substantial illustrations of the theory.' The Mathematical Gazette

    '… the book is valuable for students in engineering and physical sciences.' ZAMM

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    Product details

    • Edition: 2nd Edition
    • Date Published: February 2005
    • format: Adobe eBook Reader
    • isbn: 9780511074288
    • contains: 160 b/w illus. 350 exercises
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    Part I:
    1. Complex numbers and elementary functions
    2. Analytic functions and integration
    3. Sequences, series and singularities of complex functions
    4. Residue calculus and applications of contour integration
    Part II:
    5. Conformal mapping and applications
    6. Asymptotic evaluation of integrals
    7. Riemann–Hilbert problems
    Index.

  • Authors

    Mark J. Ablowitz, University of Colorado, Boulder

    Athanassios S. Fokas, Imperial College of Science, Technology and Medicine, London

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